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Finding the Fourth Proportional to 4,827.80, 6,662.48 and 2,838.46

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Solution

The fourth proportional to 4,827.80, 6,662.48 and 2,838.46 is: 3,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.80 : 6,662.48 = 2,838.46 : x
  2. Step 2: Convert to fraction form
    4,827.80/6,662.48 = 2,838.46/x
  3. Step 3: Cross multiply
    4,827.80x = 6,662.48 × 2,838.46
  4. Step 4: Simplify right side
    4,827.80x = 18,911,182.98
  5. Step 5: Solve for x
    x = 18,911,182.98/4,827.80
  6. Step 6: Final answer
    x = 3,917.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.